145434530120000 has 1120 divisors, whose sum is σ = 438573415382784. Its totient is φ = 47182643200000.

The previous prime is 145434530119997. The next prime is 145434530120003. The reversal of 145434530120000 is 21035434541.

It is an interprime number because it is at equal distance from previous prime (145434530119997) and next prime (145434530120003).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145434530120003) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19440516260 + ... + 19440523740.

Almost surely, 2^{145434530120000} is an apocalyptic number.

145434530120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145434530120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219286707691392).

145434530120000 is an abundant number, since it is smaller than the sum of its proper divisors (293138885262784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145434530120000 is a wasteful number, since it uses less digits than its factorization.

145434530120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7677 (or 7652 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 145434530120000 its reverse (21035434541), we get a palindrome (145455565554541).

The spelling of 145434530120000 in words is "one hundred forty-five trillion, four hundred thirty-four billion, five hundred thirty million, one hundred twenty thousand".